This website requires JavaScript.

CM Elliptic Curves: Volcanoes, Reality and Applications, Part II

Pete L. ClarkFrederick Saia
Dec 2022
摘要
Let $M \mid N$ be positive integers, and let $\Delta$ be the discriminant ofan order in an imaginary quadratic field $K$. When $\Delta_K < -4$, the firstauthor determined the fiber of the morphism $X_0(M,N) \rightarrow X(1)$ overthe closed point $J_{\Delta}$ corresponding to $\Delta$ and showed that allfibers of the map $X_1(M,N) \rightarrow X_0(M,N)$ over $J_{\Delta}$ wereconnected. Here we complement this prior work by addressing the most difficultcases $\Delta_K \in \{-3,-4\}$. These works provide all the information neededto compute, for each positive integer $d$, all subgroups of$E(F)[\operatorname{tors}]$, where $F$ is a number field of degree $d$ and$E_{/F}$ is an elliptic curve with complex multiplication.
展开全部
图表提取

暂无人提供速读十问回答

论文十问由沈向洋博士提出,鼓励大家带着这十个问题去阅读论文,用有用的信息构建认知模型。写出自己的十问回答,还有机会在当前页面展示哦。

Q1论文试图解决什么问题?
Q2这是否是一个新的问题?
Q3这篇文章要验证一个什么科学假设?
0
被引用
笔记
问答